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Previous year question hub

Calculus - Mathematics Previous Year Questions

Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

9Papers
9Years
220Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 220 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 220 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
220 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
220 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differentiation
34 Qs
Functions
34 Qs
Application Of Derivatives
31 Qs
Definite Integration
29 Qs
Limits Continuity And Differentiability
26 Qs
Indefinite Integration
26 Qs
Differential Equations
24 Qs
Area Under The Curves
16 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

KCET 2025
20 Qs
KCET 2024
25 Qs
KCET 2023
25 Qs
KCET 2022
25 Qs
KCET 2021
27 Qs
KCET 2020
21 Qs
KCET 2019
23 Qs
KCET 2018
25 Qs
KCET 2017
29 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
KCET 2025202520View paper
KCET 2024202425View paper
KCET 2023202325View paper
KCET 2022202225View paper
KCET 2021202127View paper
KCET 2020202021View paper
KCET 2019201923View paper
KCET 2018201825View paper
KCET 2017201729View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2017 · Mathematics · Calculus · Differentiation
KCET 2017
If $y=\log (\log x)$, then $\frac{d^2 y}{d x^2}$ is equal to
A
$\frac{-(1+\log x)}{x^2 \log x}$
B
$\frac{-(1+\log x)}{(x \log x)^2}$
C
$\frac{(1+\log x)}{(x \log x)^2}$
D
$\frac{(1+\log x)}{x^2 \log x}$
Open complete paper
2
2018 · Mathematics · Calculus · Differentiation
KCET 2018
\(\text { If } y=\sqrt{x+\sqrt{x+\sqrt{x+\ldots \infty}}} \text {, then } \frac{d y}{d x} \text { is equal }\) to
A
$\frac{1}{y^2-1}$
B
$\frac{1}{2 y+1}$
C
$\frac{2 y}{y^2-1}$
D
$\frac{1}{2 y-1}$
Open complete paper
3
2019 · Mathematics · Calculus · Definite Integration
KCET 2019

$$\int_\limits{-3}^3 \cot ^{-1} x d x=$$

A
\(6\pi\)
B
\(3\pi\)
C
3
D
0
Open complete paper
4
2020 · Mathematics · Calculus · Application Of Derivatives
KCET 2020

If the side of a cube is increased by \(5 \%\), then the surface area of a cube is increased by

A
10%
B
60%
C
6%
D
20%
Open complete paper
5
2021 · Mathematics · Calculus · Definite Integration
KCET 2021

If \(I_n=\int_0^{\frac{\pi}{4}} \tan ^n x d x\), where \(n\) is positive integer, then \(I_{10}+I_8\) is equal to

A
9
B
\(\frac{1}{7}\)
C
\(\frac{1}{8}\)
D
\(\frac{1}{9}\)
Open complete paper
6
2022 · Mathematics · Calculus · Definite Integration
KCET 2022

\(\int_0^{\pi / 2} \sqrt{\sin \theta} \cos ^3 \theta d \theta\) is equal to

A
\(\frac{8}{23}\)
B
\(\frac{7}{23}\)
C
\(\frac{8}{21}\)
D
\(\frac{7}{21}\)
Open complete paper